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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 139650.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.bb1 | 139650ja1 | \([1, 1, 0, -30650, -2482500]\) | \(-1732323601/430920\) | \(-792145423125000\) | \([]\) | \(663552\) | \(1.5768\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 139650.bb do not have complex multiplication.Modular form 139650.2.a.bb
sage: E.q_eigenform(10)